Mateyo is building a rectangular prism with a volume of 1000 cubic units. The height of the prism is 10 units. Mateyo claims
that the base of the prism must be a square. Draw a base
for the rectangular prism that shows that Mateyo is not
correct. Remember to label the units.

i got 142 as my answer

step-by-step explanation:

a reflection across the x axis and a 90 degree rotation left and right.

look at the picture.

1.

ef : ab = 2 : 3

gf : cb = 2 : 3

gh : cd = 2 : 3

he : da = 2 : 3

2.

∠a ≅ ∠e

∠b ≅ ∠f

∠c ≅ ∠g

∠d ≅ ∠h

3.

use pythagorean theorem:

the length of the abcd trapezoid sides:

|ab| = 3 cm

|bc| = 10 cm

|cd| = 3(3) cm = 9 cm

|da| = 8 cm

the perimeter of abcd = 3 + 10 + 9 + 8 = 30 cm

the ratio of perimeters of the tarapezoids is equal 2 : 3.

substitute:

      cross multiply

      divide both sides by 3

3.07*10^-4

move the decimal 4 places to the left

.000307